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Finding the Fourth Proportional to 3,660.68, 5,494.08 and 3,430.02

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Solution

The fourth proportional to 3,660.68, 5,494.08 and 3,430.02 is: 5,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.68 : 5,494.08 = 3,430.02 : x
  2. Step 2: Convert to fraction form
    3,660.68/5,494.08 = 3,430.02/x
  3. Step 3: Cross multiply
    3,660.68x = 5,494.08 × 3,430.02
  4. Step 4: Simplify right side
    3,660.68x = 18,844,804.28
  5. Step 5: Solve for x
    x = 18,844,804.28/3,660.68
  6. Step 6: Final answer
    x = 5,147.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.